Lie's structural approach to PDE systems:
This book provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations. It was the first book to present substantial results on local solvability of general and, in particular, nonlinear PDE systems without using power series techniques. The b...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2000
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 80 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | This book provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations. It was the first book to present substantial results on local solvability of general and, in particular, nonlinear PDE systems without using power series techniques. The book describes a general approach to systems of partial differential equations based on ideas developed by Lie, Cartan and Vessiot. The most basic question is that of local solvability, but the methods used also yield classifications of various families of PDE systems. The central idea is the exploitation of singular vector field systems and their first integrals. These considerations naturally lead to local Lie groups, Lie pseudogroups and the equivalence problem, all of which are covered in detail. This book will be a valuable resource for graduate students and researchers in partial differential equations, Lie groups and related fields |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xv, 572 pages) |
| ISBN: | 9780511569456 |
| DOI: | 10.1017/CBO9780511569456 |
Internformat
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 520 | |a This book provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations. It was the first book to present substantial results on local solvability of general and, in particular, nonlinear PDE systems without using power series techniques. The book describes a general approach to systems of partial differential equations based on ideas developed by Lie, Cartan and Vessiot. The most basic question is that of local solvability, but the methods used also yield classifications of various families of PDE systems. The central idea is the exploitation of singular vector field systems and their first integrals. These considerations naturally lead to local Lie groups, Lie pseudogroups and the equivalence problem, all of which are covered in detail. This book will be a valuable resource for graduate students and researchers in partial differential equations, Lie groups and related fields | ||
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Datensatz im Suchindex
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| author | Stormark, Olle 1945- |
| author_facet | Stormark, Olle 1945- |
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| author_sort | Stormark, Olle 1945- |
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| dewey-full | 515/.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.353 |
| dewey-search | 515/.353 |
| dewey-sort | 3515 3353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511569456 |
| format | Electronic eBook |
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| id | DE-604.BV043941889 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511569456 |
| language | English |
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| oclc_num | 855562764 |
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| physical | 1 online resource (xv, 572 pages) |
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| publishDate | 2000 |
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| publisher | Cambridge University Press |
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| series2 | Encyclopedia of mathematics and its applications |
| spelling | Stormark, Olle 1945- Verfasser aut Lie's structural approach to PDE systems Olle Stormark Cambridge Cambridge University Press 2000 1 online resource (xv, 572 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 80 Title from publisher's bibliographic system (viewed on 05 Oct 2015) This book provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations. It was the first book to present substantial results on local solvability of general and, in particular, nonlinear PDE systems without using power series techniques. The book describes a general approach to systems of partial differential equations based on ideas developed by Lie, Cartan and Vessiot. The most basic question is that of local solvability, but the methods used also yield classifications of various families of PDE systems. The central idea is the exploitation of singular vector field systems and their first integrals. These considerations naturally lead to local Lie groups, Lie pseudogroups and the equivalence problem, all of which are covered in detail. This book will be a valuable resource for graduate students and researchers in partial differential equations, Lie groups and related fields Differential equations, Partial / Numerical solutions Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Lie-Gruppe (DE-588)4035695-4 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-78088-9 Erscheint auch als Druckausgabe 978-1-107-40332-1 https://doi.org/10.1017/CBO9780511569456 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Stormark, Olle 1945- Lie's structural approach to PDE systems Differential equations, Partial / Numerical solutions Lie-Gruppe (DE-588)4035695-4 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4035695-4 (DE-588)4044779-0 |
| title | Lie's structural approach to PDE systems |
| title_auth | Lie's structural approach to PDE systems |
| title_exact_search | Lie's structural approach to PDE systems |
| title_full | Lie's structural approach to PDE systems Olle Stormark |
| title_fullStr | Lie's structural approach to PDE systems Olle Stormark |
| title_full_unstemmed | Lie's structural approach to PDE systems Olle Stormark |
| title_short | Lie's structural approach to PDE systems |
| title_sort | lie s structural approach to pde systems |
| topic | Differential equations, Partial / Numerical solutions Lie-Gruppe (DE-588)4035695-4 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Differential equations, Partial / Numerical solutions Lie-Gruppe Partielle Differentialgleichung |
| url | https://doi.org/10.1017/CBO9780511569456 |
| work_keys_str_mv | AT stormarkolle liesstructuralapproachtopdesystems |